Multidimensional Scaling of Asymmetric Proximities with a Dominance Point

Abstract

The purpose of the present study is to introduce a model and the associated nonmetric algorithm of multidimensional scaling for analyzing one-mode two-way (object × object) asymmetric proximities. In the model each object is represented as a point in a multidimensional Euclidean space, and a point, called the dominance point, is also embedded in the same multidimensional Euclidean space. The dominance point governs the asymmetry in the proximity relationships among objects, and represents the whole one-mode two-way asymmetric proximities dealt with in the analysis. An application to car switching data is presented.KeywordsMultidimensional ScalingNonmetric Multidimensional ScalingProximity MatrixAsymmetric RelationshipProximity RelationshipThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.